I second that link as a good resource. When coming from Long Island Sound and bound for the Delaware bay, we aim to reach Throgs Neck around the time of slack water, Ebb Begins. Then, we can usually carry the fair current to Sandy hook.

If your destination is still somewhere in NY harbor, you could enter at Throgs Neck a bit later and carry a stronger current.

You need to purchase and study an
Eldridge Pilot Book
It has all the info you need
In short if going southbound from Long Island Sound
You want to be under the ThrogsNeck Bridge
One Hour Before "Slack before Ebb" at Hell Gate
If you do this you will transit Hell Gate at Slack then ride the
southbound ebb all the way to Sandy Hook
Just did LIS to Cape May
Cruising by the Statue of Liberty is Fantastic
Cheers
Neil